Calculus

by Gilbert Strang & Edwin Herman

Read here Read at LibreTextsPDF

The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.

Description from LibreTexts.

Publisher
MIT & University of Wisconsin-Stevens Point
Subjects
Mathematics
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Functions and Graphs
  7. 1.1: Prelude to Functions and Graphs
  8. 1.2: Review of Functions
  9. 1.2E: Exercises
  10. 1.3: Basic Classes of Functions
  11. 1.3E: Exercises
  12. 1.4: Trigonometric Functions
  13. 1.4E: Exercises
  14. 1.5: Inverse Functions
  15. 1.5E: Exercises
  16. 1.6: Exponential and Logarithmic Functions
  17. 1.6E: Exercises
  18. 1.7: Chapter 1 Review Exercises
  19. 2: Limits
  20. 2.1: Prelude to Limits
  21. 2.2: A Preview of Calculus
  22. 2.2E: Exercises
  23. 2.3: The Limit of a Function
  24. 2.3E: Exercises
  25. 2.4: The Limit Laws
  26. 2.4E: Exercises
  27. 2.5: Continuity
  28. 2.5E: Exercises
  29. 2.6: The Precise Definition of a Limit
  30. 2.6E: Exercises
  31. 2.7: Chapter 2 Review Exercises
  32. 3: Derivatives
  33. 3.1: Prelude to Derivatives
  34. 3.2: Defining the Derivative
  35. 3.2E: Exercises
  36. 3.3: The Derivative as a Function
  37. 3.3E: Exercises
  38. 3.4: Differentiation Rules
  39. 3.4E: Exercises
  40. 3.5: Derivatives as Rates of Change
  41. 3.5E: Exercises
  42. 3.6: Derivatives of Trigonometric Functions
  43. 3.6E: Exercises
  44. 3.7: The Chain Rule
  45. 3.7E: Exercises
  46. 3.8: Derivatives of Inverse Functions
  47. 3.8E: Exercises
  48. 3.9: Implicit Differentiation
  49. 3.9E: Exercises
  50. 3.10: Derivatives of Exponential and Logarithmic Functions
  51. 3.10E: Exercises
  52. 3.11: Chapter 3 Review Exercises
  53. 4: Applications of Derivatives
  54. 4.1: Prelude to Applications of Derivatives
  55. 4.2: Related Rates
  56. 4.2E: Exercises
  57. 4.3: Linear Approximations and Differentials
  58. 4.3E: Exercises
  59. 4.4: Maxima and Minima
  60. 4.4E: Exercises
  61. 4.5: The Mean Value Theorem
  62. 4.5E: Exercises
  63. 4.6: Derivatives and the Shape of a Graph
  64. 4.6E: Exercises
  65. 4.7: Limits at Infinity and Asymptotes
  66. 4.7E: Exercises
  67. 4.8: Applied Optimization Problems
  68. 4.8E: Exercises
  69. 4.9: L’Hôpital’s Rule
  70. 4.9E: Exercises
  71. 4.10: Newton’s Method
  72. 4.10E: Exercises
  73. 4.11: Antiderivatives
  74. 4.11E: Exercises
  75. 4.12: Chapter 4 Review Exercises
  76. 5: Integration
  77. 5.1: Approximating Areas
  78. 5.1E: Exercises
  79. 5.2: The Definite Integral
  80. 5.2E: Exercises
  81. 5.3: The Fundamental Theorem of Calculus
  82. 5.3E: Exercises
  83. 5.4: Integration Formulas and the Net Change Theorem
  84. 5.4E: Exercises
  85. 5.5: Substitution
  86. 5.5E: Exercises
  87. 5.6: Integrals Involving Exponential and Logarithmic Functions
  88. 5.6E: Exercises
  89. 5.7: Integrals Resulting in Inverse Trigonometric Functions
  90. 5.7E: Exercises
  91. 5.8: Chapter 5 Review Exercises
  92. 6: Applications of Integration
  93. 6.1: Prelude to Applications of Integration
  94. 6.2: Areas between Curves
  95. 6.2E: Exercises
  96. 7: Appendices
  97. 7.1: A- Table of Derivatives
  98. 7.2: B- Table of Integrals
  99. Back Matter
  100. Index
  101. Glossary
  102. Detailed Licensing